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It costs the school band S dollars per sandwich that they make. The band sells each sandwich for 20%, percent more than it costs to make so they earn a profit. The expression 73(S+0.2S)73(S+0.2S)73, left parenthesis, S, plus, 0, point, 2, S, right parenthesis describes how much money the school band received selling sandwiches at their last fundraiser. Match each amount in the situation with the expression that represents it.

Sagot :

MrRoyal

Answer:

[tex]Expression = 87.6S[/tex]

Step-by-step explanation:

Given

[tex]Cost\ Price = S[/tex]

[tex]Selling\ Price = Cost\ Price +20\% * Cost\ Price[/tex]

Required

Match [tex]73(S + 0.2S)[/tex] with the amount it represents

[tex]Selling\ Price = Cost\ Price +20\% * Cost\ Price[/tex]

Substitute S for Cost Price

[tex]Selling\ Price = S +20\% * S[/tex]

Express 20% as decimal

[tex]Selling\ Price = S +0.20 * S[/tex]

[tex]Selling\ Price = S +0.20S[/tex]

The above represents the selling price of 1 sandwich.

So: [tex]73(S + 0.2S)[/tex] represents the amount for 73 sandwiches

Solving [tex]73(S + 0.2S)[/tex] further

[tex]Expression = 73(S + 0.2S)[/tex]

Evaluate the bracket

[tex]Expression = 73(1.2S)[/tex]

Remove bracket

[tex]Expression = 73*1.2S[/tex]

[tex]Expression = 87.6S[/tex]

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